Semantics for "enough-certainty" and fitting's embedding of classical logic in S4

抜粋

In this work we look at how Fitting's embedding of first-order classical logic into first-order S4 can help in reasoning when we are interested in satisfaction "in most cases", when first-order properties are allowed to fail in cases that are considered insignificant. We extend classical semantics by combining a Kripke-style model construction of "significant" events as possible worlds with the forcing-Fitting-style semantics construction by embedding classical logic into S4. We provide various examples. Our main running example is an application to symbolic security protocol verification with complexity-theoretic guarantees. In particular, we show how Fitting's embedding emerges entirely naturally when verifying trace properties in computer security.

title = "Semantics for {"}enough-certainty{"} and fitting's embedding of classical logic in S4",

abstract = "In this work we look at how Fitting's embedding of first-order classical logic into first-order S4 can help in reasoning when we are interested in satisfaction {"}in most cases{"}, when first-order properties are allowed to fail in cases that are considered insignificant. We extend classical semantics by combining a Kripke-style model construction of {"}significant{"} events as possible worlds with the forcing-Fitting-style semantics construction by embedding classical logic into S4. We provide various examples. Our main running example is an application to symbolic security protocol verification with complexity-theoretic guarantees. In particular, we show how Fitting's embedding emerges entirely naturally when verifying trace properties in computer security.",

T1 - Semantics for "enough-certainty" and fitting's embedding of classical logic in S4

AU - Bana, Gergei

AU - Okada, Mitsuhiro

PY - 2016/8/1

Y1 - 2016/8/1

N2 - In this work we look at how Fitting's embedding of first-order classical logic into first-order S4 can help in reasoning when we are interested in satisfaction "in most cases", when first-order properties are allowed to fail in cases that are considered insignificant. We extend classical semantics by combining a Kripke-style model construction of "significant" events as possible worlds with the forcing-Fitting-style semantics construction by embedding classical logic into S4. We provide various examples. Our main running example is an application to symbolic security protocol verification with complexity-theoretic guarantees. In particular, we show how Fitting's embedding emerges entirely naturally when verifying trace properties in computer security.

AB - In this work we look at how Fitting's embedding of first-order classical logic into first-order S4 can help in reasoning when we are interested in satisfaction "in most cases", when first-order properties are allowed to fail in cases that are considered insignificant. We extend classical semantics by combining a Kripke-style model construction of "significant" events as possible worlds with the forcing-Fitting-style semantics construction by embedding classical logic into S4. We provide various examples. Our main running example is an application to symbolic security protocol verification with complexity-theoretic guarantees. In particular, we show how Fitting's embedding emerges entirely naturally when verifying trace properties in computer security.